Global existence and blow-up of solutions for infinitely degenerate semilinear pseudo-parabolic equations with logarithmic nonlinearity
From MaRDI portal
Publication:1757448
DOI10.3934/DCDS.2019051zbMath1404.35233OpenAlexW2899908024WikidataQ128952742 ScholiaQ128952742MaRDI QIDQ1757448
Publication date: 4 January 2019
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2019051
Degenerate parabolic equations (35K65) Semilinear parabolic equations (35K58) Initial-boundary value problems for higher-order parabolic systems (35K52)
Related Items (24)
Regularized solution approximation of a fractional pseudo-parabolic problem with a nonlinear source term and random data ⋮ Global well-posedness for fractional Sobolev-Galpern type equations ⋮ Well-posedness and ill-posedness results for backward problem for fractional pseudo-parabolic equation ⋮ On the critical behavior for time-fractional pseudo-parabolic-type equations with combined nonlinearities ⋮ A second-order difference scheme for the singularly perturbed Sobolev problems with third type boundary conditions on Bakhvalov mesh ⋮ On the well-posedness of a nonlinear pseudo-parabolic equation ⋮ On a terminal value problem for pseudoparabolic equations involving Riemann-Liouville fractional derivatives ⋮ Global well posedness for the semilinear edge-degenerate parabolic equations on singular manifolds ⋮ Correction Statement ⋮ Well-posedness and longtime dynamics for the finitely degenerate parabolic and pseudo-parabolic equations ⋮ The existence, general decay and blow-up for a plate equation with nonlinear damping and a logarithmic source term ⋮ On a final value problem for a nonlinear fractional pseudo-parabolic equation ⋮ Global well-posedness of solutions for fourth order dispersive wave equation with nonlinear weak damping, linear strong damping and logarithmic nonlinearity ⋮ Stability of a class of problems for time-space fractional pseudo-parabolic equation with datum measured at terminal time ⋮ Initial boundary value problem of a class of mixed pseudo-parabolic Kirchhoff equations ⋮ A class of fourth-order hyperbolic equations with strongly damped and nonlinear logarithmic terms ⋮ Global existence and non-existence analyses for a semilinear edge degenerate parabolic equation with singular potential term ⋮ Global existence and nonexistence for a class of finitely degenerate coupled parabolic systems with high initial energy level ⋮ Nonexistence of global solutions for a class of viscoelastic wave equations ⋮ Blow-up phenomena for the sixth-order Boussinesq equation with fourth-order dispersion term and nonlinear source ⋮ Global existence, exponential decay and blow-up of solutions for a class of fractional pseudo-parabolic equations with logarithmic nonlinearity ⋮ A class of fourth-order nonlinear parabolic equations modeling the epitaxial growth of thin films ⋮ Global existence and blowup in infinite time for a fourth order wave equation with damping and logarithmic strain terms ⋮ Global existence and blow-up results for a nonlinear model for a dynamic suspension bridge
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Instability of positive periodic solutions for semilinear pseudo-parabolic equations with logarithmic nonlinearity
- Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations
- Global solution and blow-up of a semilinear heat equation with logarithmic nonlinearity
- Existence and regularity of multiple solutions for infinitely degenerate nonlinear elliptic equations with singular potential
- Degenerate quasilinear pseudoparabolic equations with memory terms and variational inequal\-ities
- Cauchy problems of semilinear pseudo-parabolic equations
- A criterion for hypoellipticity of second order differential operators
- Hypoellipticity for infinitely degenerate elliptic operators
- A note on hypoellipticity of degenerate elliptic operators
- Saddle points and instability of nonlinear hyperbolic equations
- A semilinear Sobolev evolution equation in a Banach space
- On the hypoellipticity for infinitely degenerate semi-elliptic operators
- Asymptotic behaviour of the fundamental solution to the equation of heat conduction in two temperatures
- Hypoellipticity of some degenerate subelliptic operators
- The positivity of Schrödinger operators and the hypoellipticity of second order degenerate elliptic operators
- Multiplicity and regularity of solutions for infinitely degenerate elliptic equations with a free perturbation
- Initial boundary value problem for a class of semilinear pseudo-parabolic equations with logarithmic nonlinearity
- Blow-up of solutions of nonlinear Sobolev type equations with cubic sources
- On potential wells and applications to semilinear hyperbolic equations and parabolic equations
- Certain non-steady flows of second-order fluids
- Hypoelliptic second order differential equations
- On global solution of nonlinear hyperbolic equations
- Parabolic and pseudo-parabolic partial differential equations
- Solutions of pseudo-heat equations in the whole space
- Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
- The existence and regularity of multiple solutions for a class of infinitely degenerate elliptic equations
- REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
- Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
- Effect of aggregation on population recovery modeled by a forward-backward pseudoparabolic equation
- Pseudoparabolic Partial Differential Equations
- Model equations for long waves in nonlinear dispersive systems
This page was built for publication: Global existence and blow-up of solutions for infinitely degenerate semilinear pseudo-parabolic equations with logarithmic nonlinearity
